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Finding the Fourth Proportional to 427.45, 641.49 and 318.01

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Solution

The fourth proportional to 427.45, 641.49 and 318.01 is: 477.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.45 : 641.49 = 318.01 : x
  2. Step 2: Convert to fraction form
    427.45/641.49 = 318.01/x
  3. Step 3: Cross multiply
    427.45x = 641.49 × 318.01
  4. Step 4: Simplify right side
    427.45x = 204,000.23
  5. Step 5: Solve for x
    x = 204,000.23/427.45
  6. Step 6: Final answer
    x = 477.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.